Regularization of neutral delay differential equations with several delays

DOI10.1007/S10884-013-9288-3zbMath1283.34074OpenAlexW2025533263MaRDI QIDQ1949247

Ernst Hairer, Nicola Guglielmi

Publication date: 6 May 2013

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://archive-ouverte.unige.ch/unige:27927

zbMATH Keywords

regularizationsingularly perturbed problemgeneralized solutionneutral delay differential equationcodimension-2 weak solution

Mathematics Subject Classification ID

Neutral functional-differential equations (34K40) General theory of functional-differential equations (34K05) Singular perturbations of functional-differential equations (34K26)

Related Items (3)

An efficient IMEX method for nonlinear functional differential equations with state-dependent delay ⋮ Regularizing piecewise smooth differential systems: co-dimension 2 discontinuity surface ⋮ Path-regularization of linear neutral delay differential equations with several delays

Uses Software

• RODAS
• RADAR5

Cites Work

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• Computing breaking points in implicit delay differential equations
• Regularizing piecewise smooth differential systems: co-dimension 2 discontinuity surface
• Sliding motion on discontinuity surfaces of high co-dimension. A construction for selecting a Filippov vector field
• Asymptotic Expansions for Regularized State-Dependent Neutral Delay Equations
• Sliding Motion in Filippov Differential Systems: Theoretical Results and a Computational Approach
• Implementing Radau IIA methods for stiff delay differential equations

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